State True/False:
The square root of the number 4096 by the prime factorization method will be 65.

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True

False

answer is B.

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Detailed Solution

We have to find the square root of 4096 through the prime factorization method.
Calculating the square root of 4096 using the prime factorization method:

∵ 4096 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 ∴ 4096 = 22 × 22 × 22 × 22 × 22 × 22 = 2 × 2 × 2 × 2 × 2 × 2 = 64

So, the square root of the number 4096 by the prime factorization method will be 64. Thus, the given statement is false.
Therefore, option 2 is correct.

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